dc.contributor.author | Çakmak, Musa | |
dc.contributor.author | Alkan, Sertan | |
dc.date.accessioned | 2022-12-09T06:59:39Z | |
dc.date.available | 2022-12-09T06:59:39Z | |
dc.date.issued | 2022 | en_US |
dc.identifier.citation | Cakmak, M., Alkan, S. (2022). A numerical method for solving a class of systems of nonlinear Pantograph differential equations. Alexandria Engineering Journal, 61 (4), pp. 2651-2661.
https://doi.org/10.1016/j.aej.2021.07.028 | en_US |
dc.identifier.uri | https://doi.org/10.1016/j.aej.2021.07.028 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12508/2418 | |
dc.description.abstract | In this paper, Fibonacci collocation method is firstly used for approximately solving a class of systems of nonlinear Pantograph differential equations with initial conditions. The problem is firstly reduced into a nonlinear algebraic system via collocation points, later the unknown coefficients of the approximate solution function are calculated. Also, some problems are presented to test the performance of the proposed method by using the absolute error functions. Additionally, the obtained numerical results are compared with exact solutions of the test problems and approximate ones obtained with other methods in the literature. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.isversionof | 10.1016/j.aej.2021.07.028 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Collocation method | en_US |
dc.subject | Fibonacci polynomials | en_US |
dc.subject | The systems of nonlinear Pantograph differential equation | en_US |
dc.subject.classification | Fixed Point Theorem | |
dc.subject.classification | Integral Boundary Conditions | |
dc.subject.classification | Banach Contraction Principle | |
dc.subject.classification | Engineering | |
dc.subject.classification | Mathematics - Numerical Methods - Fractional Calculus | |
dc.subject.other | Nonlinear equations | |
dc.subject.other | Numerical methods | |
dc.subject.other | Pantographs | |
dc.subject.other | Polynomials | |
dc.subject.other | Absolute error function | |
dc.subject.other | Approximate solution | |
dc.subject.other | Collocation method | |
dc.subject.other | Collocation points | |
dc.subject.other | Fibonacci polynomials | |
dc.subject.other | Initial conditions | |
dc.subject.other | Nonlinear algebraic systems | |
dc.subject.other | Performance | |
dc.subject.other | Unknown coefficients | |
dc.subject.other | Differential equations | |
dc.title | A numerical method for solving a class of systems of nonlinear Pantograph differential equations | en_US |
dc.type | article | en_US |
dc.relation.journal | Alexandria Engineering Journal | en_US |
dc.contributor.department | Mühendislik ve Doğa Bilimleri Fakültesi -- Bilgisayar Mühendisliği Bölümü | en_US |
dc.identifier.volume | 61 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 2651 | en_US |
dc.identifier.endpage | 2661 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.isteauthor | Alkan, Sertan | |
dc.relation.index | Web of Science - Scopus | en_US |
dc.relation.index | Web of Science Core Collection - Science Citation Index Expanded | |